Penn State University
Eberly College of Science
University Park, PA 16802
Office: 403 McAllister
Phone: (814) 865-3329
Fax: (814) 865-3735
The Integral of a Function
The following applet can be used to approximate the definite integral of f(t) from a to x, that is
The user can also input the value of b and obtain an approximation to the definite integral of f(x) from a to b. This value is exactly the same as the value given using the Riemann Sums and the Area Under a Curve applet using the midpoint rule.
The value of a and b can be changed by simply typing a new value, such as "1.2345", "pi/2", "sqrt(5)+cos(3)", etc. You may also change these values by using the up/down arrow keys or dragging the corresponding point along the x-axis. To move the center of the graph, simply drag any point to a new location. To label the x-axis in radians (i.e. multiples of pi), click on the graph and press "control-r". To switch back, simply press "control-r" again.
Here is a list of functions that can be used with this applet.
Use the above applet to determine the integral of:
© 2005 David P. Little
Download this applet for off-line viewing (includes source code). The above applet uses the Java Math Expression Parser (JEP) developed by Singular Systems